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Finding the Fourth Proportional to 649.36, 896.10 and 354.62

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Solution

The fourth proportional to 649.36, 896.10 and 354.62 is: 489.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    649.36 : 896.10 = 354.62 : x
  2. Step 2: Convert to fraction form
    649.36/896.10 = 354.62/x
  3. Step 3: Cross multiply
    649.36x = 896.10 × 354.62
  4. Step 4: Simplify right side
    649.36x = 317,774.98
  5. Step 5: Solve for x
    x = 317,774.98/649.36
  6. Step 6: Final answer
    x = 489.37

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.